An approach for evaluation of observables in analytic versions of QCD

Abstract

We present two variants of an approach for evaluation of observables in analytic QCD models. The approach is motivated by the skeleton expansion in a certain class of schemes. We then evaluate the Adler function at low energies in one variant of this approach, in various analytic QCD models for the coupling parameter, and compare with perturbative QCD predictions and the experimental results. We introduce two analytic QCD models for the coupling parameter which reproduce the measured value of the semihadronic tau decay ratio. Further, we evaluate the Bjorken polarized sum rule at low energies in both variants of the evaluation approach, using for the coupling parameter the analytic QCD model of Shirkov and Solovtsov, and compare with values obtained by the evaluation approach of Milton et al. and Shirkov.

revtex4, 8 pages, two eps-figures; one reference added; no other changes; version to appear in J. Phys. G

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Cited by in corpus (43)

• Ten years of the Analytic Perturbation Theory in QCD
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• QCD coupling below 1 GeV from quarkonium spectrum
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Analogs of noninteger powers in general analytic QCD
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Reconciling the analytic QCD with the ITEP operator product expansion philosophy
• QCDMAPT: program package for Analytic approach to QCD
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• Operator Product Expansion with analytic QCD in tau decay physics
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Hadronic vacuum polarization function within dispersive approach to QCD
• Renormalon-motivated evaluation of QCD observables
• On the low-energy behavior of the Adler function
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• How to perform QCD analysis of DIS in Analytic Perturbation Theory
• Lattice-motivated holomorphic nearly perturbative QCD
• Applying generalized Padé approximants in analytic QCD models
• Non-perturbative QCD effects in forward scattering at LHC
• Fractional Analytic QCD beyond Leading Order
• Fractional Analytic QCD beyond Leading Order in timelike region
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Bjorken sum rule in QCD with analytic coupling
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• Hadronic contributions to electroweak observables within DPT
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• The QCD Adler function and the muon $g-2$ anomaly from renormalons
• Exponentially Modified QCD Coupling
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Method for comparing finite temperature field theory results with lattice data
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
• Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form